The hypotenuse of a right triangle is 50 millimeters long. One leg of the right triangle is 30 millimeters long. What is the length of the other leg? (4 points)
20 millimeters
30 millimeters
40 millimeters
60 millimeters
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Let's represent the length of the other leg as x. Then, using the Pythagorean theorem:
x^2 + 30^2 = 50^2.
x^2 + 900 = 2500.
Subtracting 900 from both sides, we have:
x^2 = 1600.
Taking the square root of both sides, we find:
x = 40.
Therefore, the length of the other leg is 40 millimeters.